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Simplifying 2x + 4y + 6y + 0.5x + 3x + 3y + 21 = 360 Reorder the terms: 21 + 2x + 0.5x + 3x + 4y + 6y + 3y = 360 Combine like terms: 2x + 0.5x = 2.5x 21 + 2.5x + 3x + 4y + 6y + 3y = 360 Combine like terms: 2.5x + 3x = 5.5x 21 + 5.5x + 4y + 6y + 3y = 360 Combine like terms: 4y + 6y = 10y 21 + 5.5x + 10y + 3y = 360 Combine like terms: 10y + 3y = 13y 21 + 5.5x + 13y = 360 Solving 21 + 5.5x + 13y = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 5.5x + -21 + 13y = 360 + -21 Reorder the terms: 21 + -21 + 5.5x + 13y = 360 + -21 Combine like terms: 21 + -21 = 0 0 + 5.5x + 13y = 360 + -21 5.5x + 13y = 360 + -21 Combine like terms: 360 + -21 = 339 5.5x + 13y = 339 Add '-13y' to each side of the equation. 5.5x + 13y + -13y = 339 + -13y Combine like terms: 13y + -13y = 0 5.5x + 0 = 339 + -13y 5.5x = 339 + -13y Divide each side by '5.5'. x = 61.63636364 + -2.363636364y Simplifying x = 61.63636364 + -2.363636364y
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